We present a survey of some recent theoretical and experimental studies on nonlinear
waves that form and propagate in a broad class of optical and matterwave media. The article …

We perform a survey of some recent theoretical and experimental studies on
multidimensional (two-and three-dimensional) localized structures in optical and matter …

Fractional quantum coupler, a new type of quantum couplers that is composed of arrays of
two coupled waveguides or a dual-core waveguide with intermodal coupling, within which …

Since the parity-time-(PT-) symmetric quantum mechanics was put forward, fundamental
properties of some linear and nonlinear models with PT-symmetric potentials have been …

The stationary states and switching dynamics of the parity-time (PT) symmetric coupled
system with k-wavenumber Scarf II potential in the self-defocusing nonlinear regime have …

The stationary solutions of the coupled nonlinear Schrödinger equation with self-defocusing
nonlinearity and super-Gaussian form of parity-time (PT) symmetric potential in an optical …

We derive fractional soliton and rogue wave solutions of the space–time fractional nonlinear
Schrödinger (FNLS) equation in the existence of complex parity reflection–time reversal …

We construct families of one-dimensional (1D) stable solitons in two-component PT-
symmetric systems with spin–orbit coupling (SOC) and quintic nonlinearity, which plays the …

We investigate the nonlinear Schrödinger (NLS) equation with generalized nonlinearities
and complex non-Hermitian potentials and present the novel parity-time-(⁠ P T-) symmetric …

We consider linearly coupled discrete nonlinear Schrödinger equations with gain and loss
terms and with a cubic-quintic nonlinearity. The system models a parity-time (PT)-symmetric …